Article

Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide.

CEFET/RJ, Departamento de Ensino Superior, DEPBG CEP: 20271-110, Rio de Janeiro, RJ, Brazil.
Mathematical biosciences (impact factor: 1.3). 10/2009; 223(1):12-23. DOI:10.1016/j.mbs.2009.08.009 pp.12-23
Source: PubMed

ABSTRACT We present a mathematical model to describe the dynamics of mosquito population when sterile male mosquitoes (produced by irradiation) are introduced as a biological control, besides the application of insecticide. In order to analyze the minimal effort to reduce the fertile female mosquitoes, we search for the optimal control considering the cost of insecticide application, the cost of the production of irradiated mosquitoes and their delivery as well as the social cost (proportional to the number of fertilized females mosquitoes). The optimal control is obtained by applying the Pontryagin's Maximum Principle.

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Keywords

biological control
 
fertile female mosquitoes
 
fertilized females mosquitoes
 
irradiated mosquitoes
 
mathematical model
 
minimal effort
 
mosquito population
 
optimal control
 
Pontryagin's Maximum Principle
 
social cost
 
sterile male mosquitoes
 

Roberto C A Thomé